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LCM of 686, 463, 334, 764, 984

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 686, 463, 334, 764, 984 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 686, 463, 334, 764, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,463,334,764,984

Given numbers are 686,463,334,764,984

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 686,463,334,764,984 is 4984482182232.

Find LCM of 686,463,334,764,984 with Prime Factorization


2 686, 463, 334, 764, 984
2 343, 463, 167, 382, 492
343, 463, 167, 191, 246

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 343 x 463 x 167 x 191 x 246 = 4984482182232

Therefore, the lowest common multiple of 686,463,334,764,984 is 4984482182232.

LCM Formula to Find Lowest Common Multiple of 686,463,334,764,984

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

686 x 463 x 334 x 764 x 984 = 79751714915712

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

686 : 1, 2, 7, 14, 49, 98, 343, 686

463 : 1, 463

334 : 1, 2, 167, 334

764 : 1, 2, 4, 191, 382, 764

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,463,334,764,984, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

463:463

334:2x 167

764:2x 2x 191

984:2x 2x 2x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 79751714915712/(1x16)

LCM = 79751714915712/16

LCM = 4984482182232

Thus, we can understand that the LCM of 686,463,334,764,984 is 4984482182232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 463, 334, 764, 984

1. What is the LCM of 686, 463, 334, 764, 984?

Answer: LCM of 686, 463, 334, 764, 984 is 4984482182232.

2. How to calculate the LCM of 686, 463, 334, 764, 984?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 686, 463, 334, 764, 984.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.